Two particles are projected from the same point with the same speed u such that they have the same range R, but different maximum heights, h 1 and h 2 . Which of the following is correct?

Step-by-step solution

We get same range for angle of projections θ and 90 - θ . h = u 2 s i n 2 θ 2 g ⇒ h 1 = u 2 s i n 2 θ 2 g , h 2 = u 2 c o s 2 θ 2 g h 1 h 2 = u 4 s i n 2 θ c o s 2 θ 4 g 2 = 4 u 4 s i n 2 θ c o s 2 θ 16 g 2 = u 2 s i n 2 θ g 2 1 16 = R 2 16 ∴ R 2 = 16 h 1 h 2